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Local entanglement entropy of fermions as a marker of quantum phase transition in the one-dimensional Hubbard model

Title
Local entanglement entropy of fermions as a marker of quantum phase transition in the one-dimensional Hubbard model
Author
차민철
Keywords
Entanglement entropy; Hubbard model; Quantum phase transition
Issue Date
2018-05
Publisher
ELSEVIER SCIENCE BV
Citation
PHYSICA B-CONDENSED MATTER, v. 536, Page. 701-703
Abstract
We study quantum phase transition of interacting fermions by measuring the local entanglement entropy in the one-dimensional Hubbard model. The reduced density matrices for blocks of a few sites are constructed from the ground state wave function in infinite systems by adopting the matrix product state representation where time-evolving block decimations are performed to obtain the lowest energy states. The local entanglement entropy, constructed from the reduced density matrices, as a function of the chemical potential shows clear signatures of the Mott transition. The value of the central charge, numerically determined from the universal properties of the local entanglement entropy, confirms that the transition is caused by the suppression of the charge degrees of freedom.
URI
https://www.sciencedirect.com/science/article/pii/S0921452617305306http://repository.hanyang.ac.kr/handle/20.500.11754/81051
ISSN
0921-4526
DOI
10.1016/j.physb.2017.08.046
Appears in Collections:
COLLEGE OF SCIENCE AND CONVERGENCE TECHNOLOGY[E](과학기술융합대학) > PHOTONICS AND NANOELECTRONICS(나노광전자학과) > Articles
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